Cheney Backs Voter Suppression Bills Based On Trumpâs Big Lie Photo from Liz Cheney official Facebook Rep. Liz Cheney (R-WY) has been an outspoken critic of Donald Trump and her fellow Republican lawmakers who have lied about voter fraud in the 2020 election â so vocal, in fact, that she lost her position in House GOP leadership over it. Yet in an interview with Axios that aired on Sunday, Cheney said she supports the voter suppression legislation Republicans have pushed across the country in 2021, even as the same lies of fraud are being used to justify those bills. In the interview with Axios' Jonathan Swan, Cheney denied that the hundreds of voter suppression bills â some of which have already become law â were based on Trump's voter fraud lies.